2017
Том 69
№ 5

All Issues

Approximation for absolutely continuous functions by Stancu Beta operators

Zeng Xiao Ming

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Abstract

In this paper, we obtain an exact estimate for the first-order absolute moment of Stancu Beta operators by means of the Stirling formula and integral operations. Then we use this estimate for establishing a theorem on approximation of absolutely continuous functions by Stancu Beta operators.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 11, pp 1787-1794.

Citation Example: Zeng Xiao Ming Approximation for absolutely continuous functions by Stancu Beta operators // Ukr. Mat. Zh. - 2011. - 63, № 11. - pp. 1570-1576.

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